Gaussian Cramer-Rao bound for direction estimation of noncircular signals in unknown noise fields

IEEE Transactions on Signal Processing

Volumn 53, Issue 12, 2005, Pages 4610-4618

  Abeida, Habti ^a   Delmas, Jean Pierre ^a  

^a INSTITUT TELECOM   (France)

Author keywords

Colored noise; Deterministic Cramer Rao bound (CRB); Direction of arrival (DOA) estimation; Noncircular signals; Nonuniform noise; Stochastic Cramer Rao bound

Indexed keywords

ARRAYS; GAUSSIAN NOISE (ELECTRONIC); MATHEMATICAL MODELS; MAXIMUM LIKELIHOOD ESTIMATION; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES; SENSORS; VECTORS;

COLORED NOISE; DETERMINISTIC CRAMER-RAO BOUND; DIRECTION-OF-ARRIVAL ESTIMATION; NONCIRCULAR SIGNALS; NONUNIFORM NOISE; STOCHASTIC CRAMER-RAO BOUND;

SIGNAL DETECTION;

EID: 29144439782     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2005.859226     Document Type: Article

References (16)

1. P. Stoica and A. Nehorai, "MUSIC, maximum likelihood and Cramer-Rao bound," IEEE Trans. Acoust. Speech Signal Process., vol. 37, no. 5, pp. 720-741, May 1989.
2. P. Stoica and A. Nehorai, "Performance study of conditional and unconditional direction of arrival estimation," IEEE Trans. Acoust. Speech Signal Process., vol. 38, no. 10, pp. 1783-1795, Oct. 1990.
3. P. Stoica, A. G. Larsson, and A. B. Gershman, "The stochastic CRB for array processing: A textbook derivation," IEEE Signal Process. Lett., vol. 8, no. 5, pp. 148-150, May 2001
4. A. J. Weiss and B. Friedlander, "On the Cramer-Rao bound for direction finding of correlated sources," IEEE Trans. Signal Process., vol. 41, no. 1, pp. 495-499, Jan. 1993.
5. B. Ottersten, M. Viberg, and T. Kailath, "Analysis of subspace fitting and ML techniques for parameter estimation from sensor array data," IEEE Trans. Signal Process., vol. 40, no. 3, pp. 590-600, Mar. 1992.
6. M. Pesavento and A. B. Gershman, "Maximum-likelihood direction of arrival estimation in the presence of unknown nonuniform noise," IEEE Trans. Signal Process., vol. 49, no. 7, pp. 1310-1324, Jul. 2001.
7. A. B. Gershman, P. Stoica, M. Pesavento, and E. G. Larsson, "Stochastic Cramer-Rao bound for direction estimation in unknown noise fields," Proc. Inst. Elect. Eng. - Radar Sonar Navigat., vol. 149, no. 1, pp. 2-8. Feb. 2002.
8. B. Friedlander and A. J. Weiss, "Direction finding using noise covariance modeling," IEEE Trans. Signal Process., vol. 43, no. 7, pp. 1557-1567, Jul. 1995.
9. P. Stoica and R. Moses, Introduction to Spectral Analysis. Upper Saddle River, NJ: Prentice-Hall, 1997.
10. J. P. Delmas and H. Abeida, "Stochastic Cramer-Rao bound for noncircular signals with application to DOA estimation," IEEE Trans. Signal Process., vol. 52, no. 11, pp. 3192-3199, Nov. 2004.
11. P. Stoica and N. Nehorai, "On the concentrated stochastic likelihood function in array processing," Circuit, Syst. Signal Process., vol. 14, pp. 669-674, Sep. 1995.
12. A. G. Jaffer, "Maximum likelihood direction finding of stochastic sources: A separable solution," in Proc. ICASSP, New York, Apr. 11-14, 1988, pp. 2893-2896.
13. H. Ye and R. D. Degroat, "Maximum likelihood DOA estimation and asymptotic Cramer-Rao bounds for additive unknown colored noise," IEEE Trans. Signal Process., vol. 43, no. 4, pp. 938-949, Apr. 1995.
14. B. Göransson and B. Ottersten, "Direction estimation in partially unknown noise fields," IEEE Trans. Signal Process., vol. 47, no. 9, pp. 2375-2385, Sep. 1999.
15. J. P. Delmas, "Asymptotic performance of second-order algorithms," IEEE Trans. Signal Process., vol. 50, no. 1, pp. 49-57, Jan. 2002.
16. J. P. Delmas, "Asymptotically minimum variance second-order estimation for noncircular signals with application to DOA estimation," IEEE Trans. Signal Process., vol. 52, pp. 1235-1241, May 2004.